Dear Bhargavi, BA is for mainly Arts and B.Sc is for Science. Their career scope majorly depends on the career path you want to choose.There are few subjects which are offered both as a BA degree and a B.Sc degree. In these cases, both courses provide you with same value and scope. The only difference being in BA, you get to learn the subject through communication and analytical skills whereas B.Sc concentrates more on analytical and practical perspective. 

Hello Bhargavi Akashpu,

About Bachelor of Arts (B.A):

• It is a three year undergraduate degree programme. Minimum eligibility for this course requires you to have done your 12th grade from recognised board or institution. 
• Applications to this course are released right after your 12th examinations. The universities release their own individuals forms and then conduct admissions tests and private interview and group discussion rounds. 
• A Bachelor of Arts course allows a student to model their degree programme by letting them choose subjects which compliment their future needs and aspirations. 
• Certain courses which can be taken up include History, Anthropology, Literature, History, Psychology, Philosophy, Political Science etc. 
• This course helps to develop a student get an proper understanding of civilization and develop skills of communication, critical thinking and problem solving.
• Admissions to this course are merit based. These universities also hugely consider the results of the examination conducted by the universities and the personal interview and group discussion rounds. 
• Top institutes fir this course are St. Xavier's College, Hindu College, Minanda House College, Ramjas College, Fergusson College, Hans Raj College, Ramnarain Ruia College, St. Mira's College for Girls, Maharaja Agrasen College etc. 

About Bachelor of Science (B.Sc.):

• This is a three year undergraduate degree programme. In order to be eligible for this course you need to have done your 12th grade examinations with a minimum of % aggregate marks from a recognised board or university.
• Many career fields which open up after this course include business, technology, education, software, finances, consultancy etc. 
• It offers courses in multiple subjects like mathematics, science, technology etc. 
• Various profession which open up after this degree programme include healthcare, biology, finance, chemistry, consulting, forensic sciences, education, engineering, computer programming etc. 
• Top colleges for B.Sc. courses in India are Loyola College, Hindu College, Christ University, Sri Venkateshwara College, Miranda House, Hansraj College, Madras Christian College, Ramjas College, Stella Maris College, Gargi College etc. 

Bachelor of Arts vs Bachelor of Science:

• The course you choose plainly is based on your interests. If you are interested in the scientific and technological aspects of a subject then you will be more suited in a B.Sc. course. However, if you want to look at the subject from an overview of social sciences and humanities then B.A is where you are more suited. 
• A B.A degree is a more generalised study of many courses taught. It ranges in aspects covered. It covers concepts of humanities, social sciences and even natural sciences to an extent. However, a B.Sc. programme on the other hand is more focused in and around the actual area of study covering concepts of science and technology associated with the subject. 
• A B.Sc. degree is more focused at the curriculum at hand and has more marks and credits linked to the subject you are studying. However, a B.A. programme does experiment with the course it offers and the curriculum, there are holistic activities which holistically develop you and get you credits. 
• You can experiment with the subjects you are studying in a B.A course, however, a B.Sc. course does not give you this freedom to experiment. 
• A B.A. course on one hand sharpens your writing and communication skills and allows you to think critically, a B.Sc. degree on the other hand fosters analytical and detailed understanding of the subject at hand. 
• Both have approximately the same futuristic opportunities. Equal job and educational opportunities open up after these course. However, when deciding on which is better you should consider what suits you better.

All the best!

I hope this answers your queries.

Do revert back in case of any further questions.